fluid glen
ik that the chain rule for integration is u sub but what if the integral you're dealing with doesn't have a neat function f(x) that is multiplied to another composite function g(h(x)) whose derivative of its inner function h(x) is equal to the function f(x)
example is the image ive sent. there's no sinx multiplied to ln(cosx) so we cant use u sub.
how do you even go about tackling these kind of problems
fallow stoneBOT
main glacier
By using special functions
fluid glen
can u list some pls thx
dawn shore
ik that the chain rule for integration is u sub but what if the integral you're ...
there are many methods
the particular example that you sent doesn't seem to be integrable with elementary functions but there are other functions which are integrable
which don't have an obvious substitution
one common technique you can use is Integration by Parts
take one of your functions (typically the more "complicated function") as the function to be differentiated
for definite integrals series are also commonplace